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Finding the Third Proportional to 31,689.75 and 68,853

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Solution

The third proportional to 31,689.75 and 68,853 is: 149,598.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,689.75 : 68,853 = 68,853 : x
  2. Step 2: Convert to fraction form
    31,689.75/68,853 = 68,853/x
  3. Step 3: Cross multiply
    31,689.75x = 68,853 × 68,853
  4. Step 4: Simplify right side
    31,689.75x = 4,740,735,609
  5. Step 5: Solve for x
    x = 4,740,735,609/31,689.75
  6. Step 6: Final answer
    x = 149,598.39

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.